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Finding the Third Proportional to 20,817.50 and 31,745

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Solution

The third proportional to 20,817.50 and 31,745 is: 48,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.50 : 31,745 = 31,745 : x
  2. Step 2: Convert to fraction form
    20,817.50/31,745 = 31,745/x
  3. Step 3: Cross multiply
    20,817.50x = 31,745 × 31,745
  4. Step 4: Simplify right side
    20,817.50x = 1,007,745,025
  5. Step 5: Solve for x
    x = 1,007,745,025/20,817.50
  6. Step 6: Final answer
    x = 48,408.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.